Generating thec*5-connected graphs
β Scribed by David Barnette
- Book ID
- 112885031
- Publisher
- The Hebrew University Magnes Press
- Year
- 1977
- Tongue
- English
- Weight
- 365 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A graph is a minor of another if the first can be obtained from a subgraph of the second by contracting edges. A graph G is internally 4-connected if it is simple, 3-connected, has at least five vertices, and if for every partition (A, B) of the edgeset of G, either |A| [ 3 or |B| [ 3 or at least fo
## Abstract For __k__=0, 1, 2, 3, 4, 5, let ${\cal{P}}\_{k}$ be the class of __k__ βedgeβconnected 5βregular planar graphs. In this paper, graph operations are introduced that generate all graphs in each ${\cal{P}}\_{k}$. Β© 2009 Wiley Periodicals, Inc. J Graph Theory 61: 219β240, 2009
We show that between any two vertices of a 5-connected graph there exists an induced path whose vertices can be removed such that the remaining graph is 2-connected.